Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 9, 19, ['9903', '1785', '4403', '9413', '6301', 'Y', 'T', 'r', '9821', '8963', '2263', '9491', '9381', '1897', '3295', 'n', 'A', '2219', '9175', 'I']

56505